31024400000 has 288 divisors, whose sum is σ = 85047017580. Its totient is φ = 11264000000.

The previous prime is 31024399993. The next prime is 31024400083. The reversal of 31024400000 is 442013.

It can be written as a sum of positive squares in 6 ways, for example, as 449779264 + 30574620736 = 21208^2 + 174856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48399680 + ... + 48400320.

Almost surely, 2^31024400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42523508790).

31024400000 is an abundant number, since it is smaller than the sum of its proper divisors (54022617580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31024400000 is an frugal number, since it uses more digits than its factorization.

31024400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 31024400000 its reverse (442013), we get a palindrome (31024842013).

The spelling of 31024400000 in words is "thirty-one billion, twenty-four million, four hundred thousand".